Homework Statement
Analyze the specific heat of a one dimensional lattice of identical atoms:
Show within Debye approximation that the specific heat at low temperatures ( ≪ Θ) is
proportional to T/ΘD . Here ΘD=ℏD/ kB = ℏvs/KBa is the Debye temperature valid for 1D, kB the Boltzmann...
Homework Statement
If all the heat transport is by phonons, estimate the mean free path of phonons in Germanium at 300K using the following data. Thermal conductivity=80W/K m; Debye temperature=360K; atomic weight=72.6; sound velocity=4500m/s; density=5500kg m−3
Homework Equations
K=CVvsl
l...